Study of perturbed Lotka-Volterra systems via Abelian integrals

DOI10.1006/jmaa.1996.0109zbMath0854.34034OpenAlexW2079754517MaRDI QIDQ1917987

Chengzhi Li, Armengol Gasull, Antoni Guillamon, Zhi-Fen Zhang

Publication date: 18 July 1996

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1996.0109

zbMATH Keywords

Hamiltonian systemdegenerate Hopf bifurcationLotka-Volterra predator-prey systemAbelian integralsnumber of limit cycles

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Perturbations of ordinary differential equations (34D10)

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